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\sqrt{\frac{117649}{11^{4}}}
Calculate 7 to the power of 6 and get 117649.
\sqrt{\frac{117649}{14641}}
Calculate 11 to the power of 4 and get 14641.
\frac{343}{121}
Rewrite the square root of the division \frac{117649}{14641} as the division of square roots \frac{\sqrt{117649}}{\sqrt{14641}}. Take the square root of both numerator and denominator.